By using x-method we got that factorization [tex]x^2-25[/tex] is (x+5)(x-5)
What is factorization ?
factorization is writing a expression as a product of several factors.
So Given polynomial is
[tex]x^2-25[/tex]
Now we will factorise this using x method
Here a=1 b=0 and c= -25
so ac=-25
Now We will write -25 at the top.
and 0 at the bottom.
No we will find two numbers that multiply to the top number -25 and add to the bottom number 0. Hence those numbers are -5 and 5.
Now we can write equation as
[tex]x^2-5x+5x-25\\\\x(x-5)+5(x-5)\\\\(x+5)(x-5)[/tex]
By using x-method we got that factorization [tex]x^2-25[/tex] is (x+5)(x-5)
To learn more about factorization visit : https://brainly.com/question/11579257
